A method and apparatus for displaying three dimensional (3D) images are provided. The display apparatus includes a backlight unit which emits light, an image panel which includes plurality of pixels for modulating the light from the backlight unit to form a gray scaled image, an electrowetting lens unit which includes first electrowetting lenses arranged to correspond to the plurality of pixels in the image panel and second electrowetting lenses arranged opposite to the first electrowetting lenses, wherein at least two of the first electrowetting lenses and at least one of the second electrowetting lenses may be arranged opposite each other; and a controller which controls the electrowetting lens unit to separate beams exiting from the image panel into at least two viewing zones in a 3D image display mode.